Finding the Third Proportional to 99,723 and 215,103
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Solution
The third proportional to 99,723 and 215,103 is: 463,978.23
Step by Step Solution
- Step 1: Write the proportion equation
99,723 : 215,103 = 215,103 : x - Step 2: Convert to fraction form
99,723/215,103 = 215,103/x - Step 3: Cross multiply
99,723x = 215,103 × 215,103 - Step 4: Simplify right side
99,723x = 46,269,300,609 - Step 5: Solve for x
x = 46,269,300,609/99,723 - Step 6: Final answer
x = 463,978.23
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.